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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク method of continuity ： ウィキペディア英語版 method of continuity In the mathematics of Banach spaces, the method of continuity provides sufficient conditions for deducing the invertibility of one bounded linear operator from that of another, related operator. ==Formulation== Let ''B'' be a Banach space, ''V'' a normed vector space, and $(L\_t)\_$ a norm continuous family of bounded linear operators from ''B'' into ''V''. Assume that there exists a constant ''C'' such that for every $t\backslash in\; ()$ and every $x\backslash in\; B$ :$||x||\_B\; \backslash leq\; C\; ||L\_t(x)||\_V.$ Then $L\_0$ is surjective if and only if $L\_1$ is surjective as well. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「method of continuity」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.